Higgs-boson production in top-quark fragmentation

Abstract

We compute the fragmentation functions for the production of a Higgs boson at $\mathcal{O}(y_t^2{\alpha }_s)$. As part of this calculation, the relevant splitting functions are also derived at the same perturbative order. Our results can be used to compute differential cross sections with arbitrary top-quark and Higgs-boson masses from massless calculations. They can also be used to resum logarithms of the form $\ln (p_T/m)$ at large transverse momentum $p_T$ to next-to-leading-logarithmic accuracy by solving the DGLAP equations.

49 pages, 8 figures

References in corpus (8)

• Classical Polylogarithms for Amplitudes and Wilson Loops
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Higgs boson production in association with top quarks in the POWHEG BOX
• QCD NLO and EW NLO corrections to $t\bar{t}H$ production with top quark decays at hadron collider
• Weak corrections to Higgs hadroproduction in association with a top-quark pair
• Three-loop master integrals for ladder-box diagrams with one massive leg
• NNLL resummation for the associated production of a top pair and a Higgs boson at the LHC
• Electroweak and QCD corrections to top-pair hadroproduction in association with heavy bosons